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volume of a regular right circular cylinder is V=pi(r2)h

since the radius is (a) then the height of the circular cylinder would be (2a)

so the volume of the largest possible right circular cylinder is...

V=2(pi)(r2)(a)

with (pi) being 3.14159

with (r) being the radius of the circle on the top and bottom of the cylinder

with (a) being the radius of the sphere

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Q: Volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius a?
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